Computer simulation evidence for Berezhinskiǐ-Kosterlitz-Thouless-like transitions in one dimension

International Journal of Modern Physics B

Volumn 11, Issue 17, 1997, Pages 2043-2056

  Romano, S ^a  

^a UNIVERSITY OF PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242399996     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979297001052     Document Type: Article

References (89)

1. Ya. G. Sinaï, Theory of Phase Transitions; Rigorous Results, (Pergamon, Oxford, 1982).
2. H.-O. Georgii, Gibbs Measures and Phase Transitions, (de Gruyter, Berlin 1988).
3. S. Romano, Nuovo Cim. B100, 447 (1987).
4. H.-O. Carmesin, Phys. Lett. A125, 294 (1987).
5. J. Fröhlich and T. Spencer, Commun. Math. Phys. 81, 527 (1981).
6. P. Minnhagen, Rev. Mod. Phys. 59, 1001 (1987).
7. R. Gupta, J. De Lapp, G. G. Batrouni, G. C. Fox, C. F. Baillie and J. Apostolakis, Phys. Rev. Lett. 61, 1996 (1988).
8. P. Butera and M. Comi, Phys. Rev. B50, 3052 (1994)
9. S. T. Bramwell and P. C. W. Holdsworth, Phys. Rev. B49, 8811 (1994).
10. J. Bricmont, J. L. Lebowitz and C.-E. Pfister, J. Stat. Phys. 24, 269 (1981).
11. F. Dunlop, J. Stat. Phys. 41, 733 (1985).
12. A. Cuccoli, V. Tognetti, P. Verrucchi and R. Vaia, J. Appl. Phys. 76, 6362 (1994); A. Cuccoli, V. Tognetti and R. Vaia, Phys. Rev. B52, 10221 (1995).
13. A. Cuccoli, V. Tognetti, P. Verrucchi and R. Vaia, J. Appl. Phys. 76, 6362 (1994); A. Cuccoli, V. Tognetti and R. Vaia, Phys. Rev. B52, 10221 (1995).
14. H. G. Evertz and D. P. Landau, Phys. Rev. B54, 12303 (1996).
15. E. Domany, M. Schick and R. H. Swendsen, Phys. Rev. Lett. 52, 1535 (1984).
16. J. E. van Himbergen, Phys. Rev. Lett. 53, 5 (1984); Phys. Rev. B29, 6387 (1984).
17. J. E. van Himbergen, Phys. Rev. Lett. 53, 5 (1984); Phys. Rev. B29, 6387 (1984).
18. H. J. F. Knops, Phys. Rev. B30, 470 (1984).
19. P. Litz, S. Langenbach and A. Hüller, J. Stat. Phys. 66, 1659 (1992).
20. M. S. Li and M. Cieplak, Phys. Rev. B47, 608 (1993).
21. Smita Ota and S. B. Ota, Phys. Lett. A186, 103 (1994); Pramana 43 129 (1994).
22. Smita Ota and S. B. Ota, Phys. Lett. A186, 103 (1994); Pramana 43 129 (1994).
23. J. F. Fernández, M. Puma and R. F. Angulo, Phys. Rev. B44, 10057 (1991).
24. A. Jonsson, P. Minnhagen and M. Nylén, Phys. Rev. Lett. 70, 1327 (1993).
25. S. Romano, Phys. Scr. 50, 327 (1994).
26. A. C. Irving and R. Kenna, Phys. Rev. B53, 11568 (1996).
27. J. Fröhlich, Bull. Am. Math. Soc. 84, 165 (1978).
28. J. Fröhlich, R. Israel, E. H. Lieb and B. Simon, Commun. Math. Phys. 62, 1 (1978).
29. H. Kunz and C. E. Pfister, Commun. Math. Phys. 46, 245 (1976).
30. J. B. Rogers and C. J. Thompson, J. Stat. Phys. 25, 669 (1981).
31. B. Simon, J. Stat. Phys. 26, 307 (1981).
32. B. Simon and A. D. Sokal, J. Stat. Phys. 25, 679 (1981).
33. C. E. Pfister, Commun. Math. Phys. 79, 181 (1981).
34. M. Suzuki, Phys. Lett. A42, 5 (1972).
35. M. E. Fisher, S. Ma and B. G. Nickel, Phys. Rev. Lett. 29, 917 (1972).
36. S. Fakioĝlu, Phys. Status Sol. B98 307 (1980); ibid. 109 K 63 (1982); ibid. 128 K 187 (1985).
37. S. Fakioĝlu, Phys. Status Sol. B98 307 (1980); ibid. 109 K 63 (1982); ibid. 128 K 187 (1985).
38. S. Fakioĝlu, Phys. Status Sol. B98 307 (1980); ibid. 109 K 63 (1982); ibid. 128 K 187 (1985).
39. C. A. Bonato, J. F. Perez and A. Klein, J. Stat. Phys. 29, 159 (1982).
40. K. R. Ito, J. Stat. Phys. 29, 747 (1982).
41. A. Messager, S. Miracle-Sole and J. Ruiz, Ann. Inst. Henri Poincare- A - Phys. Theor. 40, 85 (1984).
42. E. Dagotto and A. Moreo, Phys. Rev. B37 7873 (1988).
43. S. Romano, Liq. Cryst. 3, 1215 (1988); ibid. 4, 483 (1989).
44. S. Romano, Liq. Cryst. 3, 1215 (1988); ibid. 4, 483 (1989).
45. S. Romano, Int. J. Mod. Phys. B10, 2687 (1996).
46. G. S. Joyce, Phys. Rev. 146, 349 (1966).
47. G. S. Joyce, J. Phys. C2, 1531 (1969).
48. G. S. Joyce, Phase Transitions and Critical Phenomena, vol. 2, eds. C. Domb and M. S. Green, (Academic press, London 1972), Chap. 10, pp. 75-442.
49. G. A. Baker, Jr., Quantitative Theory of Critical Phenomena, (Academic press, Boston, 1990).
50. S. Romano, Phys. Rev. B42, 8647 (1990).
51. E. Šimánek, Phys. Lett. A119, 477 (1987).
52. S. Romano, Nuovo Cim. D10, 1459 (1988).
53. R. Brown and E. Šimánek, Phys. Rev. B38, 9264 (1988).
54. V. Scalia, G. Falci, R. Fazio and G. Giaquinta, Physica B165 & 166, 975 (1990).
55. V. Scalia, G. Falci, R. Fazio and G. Giaquinta, Phys. Rev. Lett. 67, 2203 (1991).
56. V. Scalia, G. Falci, R. Fazio and G. Giaquinta, Z. Phys. B85, 427 (1991).
57. S. Romano, Phys. Rev. B40, 4970 (1989).
58. S. Romano, Phys. Rev. B45, 1037 (1992).
59. S. Romano, Phys. Rev. B46, 5420 (1992).
60. J. Fröhlich and T. Spencer, Commun. Math. Phys. 84, 87 (1982).
61. M. Aizenman, J. T. Chayes, L. Chayes and C. M. Newman, J. Stat. Phys. 50, 1 (1988).
62. J. Z. Imbrie and C. M. Newman, Commun. Math. Phys. 118, 303 (1988).
63. S. Romano, Liq. Cryst. 10, 73 (1991).
64. R. Brown and E. Šimánek, Phys. Rev. B34, 2957 (1986).
65. B. Jancovici, Phys. Rev. Lett. 19, 20 (1967).
66. F. Wegner, Z. Phys. 206, 465 (1967).
67. W. Zwerger and M. Scharpf, Z. Phys. B85, 421 (1991).
68. J. Ginibre, Commun. Math. Phys. 16, 310 (1970).
69. C. J. Thompson, Phys. Lett. A43, 259 (1973).
70. J. L. Monroe, J. Math. Phys. 16, 1809 (1975).
71. J. Bricmont, Phys. Lett. A57, 411 (1976).
72. H. Kuna, C. E. Pfister and P. A. Vuillermot, Phys. Lett. A54, 428 (1975); J. Phys. A9, 1673 (1976).
73. H. Kuna, C. E. Pfister and P. A. Vuillermot, Phys. Lett. A54, 428 (1975); J. Phys. A9, 1673 (1976).
74. K.-I. Kondo and Y. Sugiyama, J. Math. Phys. 29, 451 (1988).
75. M. Suzuki, Prog. Theor. Phys. 37, 770 (1967).
76. M. Aizenman and B. Simon, Phys. Lett. A76, 281 (1980).
77. P. W. Anderson and G. Yuval, J. Phys. C4, 607 (1971).
78. J. K. Bhattacharjee, C. Chakravarty, J. L. Richardson and D. J. Scalapino, Phys. Rev. B24, 3862 (1981).
79. G. V. Matvienko, Theor. Math. Phys. 63, 635 (1985).
80. J. L. Monrce, J. Stat. Phys. 40, 249 (1985).
81. K. Uzelac and Z. Glumac, J. Phys. A21, L421 (1988); ibid. 23, 4439 (1989).
82. K. Uzelac and Z. Glumac, J. Phys. A21, L421 (1988); ibid. 23, 4439 (1989).
83. S. A. Cannas, Phys. Rev. B51, 3034 (1995).
84. N. Angelescu and V. A. Zagrebnov, J. Phys. A15, L639 (1982).
85. N. Angelescu, S. Romano and V. A. Zagrebnov, Phys. Lett. A200, 443 (1995).
86. N. Angelescu, S. Romano and V. A. Zagrebnov, Int. J. Mod. Phys. B9, 859 (1995).
87. S. Romano, Int. J. Mod. Phys. B9, 3345 (1995).
88. S. Romano, Int. J. Mod. Phys. B11, 919 (1997).
89. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, (Academic, New York, 1980).